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Question
If A = `[(7, 3, 0),(0, 4, -2)], "B" = [(0, -2, 3),(2, 1, -4)]`, then find 5AT – 5BT.
Solution
A = `[(7, 3, 0),(0, 4, -2)] "and" "B" = [(0, -2, 3),(2, 1, -4)]`
∴ AT = `[(7, 0),(3, 4),(0, -2)] "and" "B"^"T" = [(0, 2),(-2, 1),(3, -4)]`
5AT – 5BT = 5(AT – BT)
= `5([(7, 0),(3, 4),(0, -2)] - [(0, 2),(-2, 1),(3, -4)])`
= `5[(7 - 0, 0 - 2),(3 + 2, 4 - 1),(0 - 3, -2 + 4)]`
= `5[(7, -2),(5, 3),(-3, 2)]`
= `[(35, -10),(25, 15),(-15, 10)]`.
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